Elliptic curve isogeny class with Cremona label 167310fo (LMFDB label 167310.o)

• Label: 167310fo
• Number of curves: $1$
• Conductor: $167310$
• CM: no
• Rank: $0$

Rank

The elliptic curve 167310fo1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1 - T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 167310fo do not have complex multiplication.

Modular form 167310.2.a.fo

Elliptic curves in class 167310fo

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
167310.o1	167310fo1	\([1, -1, 0, -730365, -235667899]\)	\(2683525923/56320\)	\(904275484650869760\)	\([]\)	\(2995200\)	\(2.2352\)	\(\Gamma_0(N)\)-optimal